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Simplifying -5A + -8B + -7C + -4D + -7E + 2F + 3G = -84 Solving -5A + -8B + -7C + -4D + -7E + 2F + 3G = -84 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '8B' to each side of the equation. -5A + -8B + -7C + -4D + -7E + 2F + 8B + 3G = -84 + 8B Reorder the terms: -5A + -8B + 8B + -7C + -4D + -7E + 2F + 3G = -84 + 8B Combine like terms: -8B + 8B = 0 -5A + 0 + -7C + -4D + -7E + 2F + 3G = -84 + 8B -5A + -7C + -4D + -7E + 2F + 3G = -84 + 8B Add '7C' to each side of the equation. -5A + -7C + -4D + -7E + 2F + 7C + 3G = -84 + 8B + 7C Reorder the terms: -5A + -7C + 7C + -4D + -7E + 2F + 3G = -84 + 8B + 7C Combine like terms: -7C + 7C = 0 -5A + 0 + -4D + -7E + 2F + 3G = -84 + 8B + 7C -5A + -4D + -7E + 2F + 3G = -84 + 8B + 7C Add '4D' to each side of the equation. -5A + -4D + -7E + 2F + 4D + 3G = -84 + 8B + 7C + 4D Reorder the terms: -5A + -4D + 4D + -7E + 2F + 3G = -84 + 8B + 7C + 4D Combine like terms: -4D + 4D = 0 -5A + 0 + -7E + 2F + 3G = -84 + 8B + 7C + 4D -5A + -7E + 2F + 3G = -84 + 8B + 7C + 4D Add '7E' to each side of the equation. -5A + -7E + 2F + 7E + 3G = -84 + 8B + 7C + 4D + 7E Reorder the terms: -5A + -7E + 7E + 2F + 3G = -84 + 8B + 7C + 4D + 7E Combine like terms: -7E + 7E = 0 -5A + 0 + 2F + 3G = -84 + 8B + 7C + 4D + 7E -5A + 2F + 3G = -84 + 8B + 7C + 4D + 7E Add '-2F' to each side of the equation. -5A + 2F + -2F + 3G = -84 + 8B + 7C + 4D + 7E + -2F Combine like terms: 2F + -2F = 0 -5A + 0 + 3G = -84 + 8B + 7C + 4D + 7E + -2F -5A + 3G = -84 + 8B + 7C + 4D + 7E + -2F Add '-3G' to each side of the equation. -5A + 3G + -3G = -84 + 8B + 7C + 4D + 7E + -2F + -3G Combine like terms: 3G + -3G = 0 -5A + 0 = -84 + 8B + 7C + 4D + 7E + -2F + -3G -5A = -84 + 8B + 7C + 4D + 7E + -2F + -3G Divide each side by '-5'. A = 16.8 + -1.6B + -1.4C + -0.8D + -1.4E + 0.4F + 0.6G Simplifying A = 16.8 + -1.6B + -1.4C + -0.8D + -1.4E + 0.4F + 0.6G
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