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Simplifying 8(z + -2) + 3 = 3(z + -4) + 9 Reorder the terms: 8(-2 + z) + 3 = 3(z + -4) + 9 (-2 * 8 + z * 8) + 3 = 3(z + -4) + 9 (-16 + 8z) + 3 = 3(z + -4) + 9 Reorder the terms: -16 + 3 + 8z = 3(z + -4) + 9 Combine like terms: -16 + 3 = -13 -13 + 8z = 3(z + -4) + 9 Reorder the terms: -13 + 8z = 3(-4 + z) + 9 -13 + 8z = (-4 * 3 + z * 3) + 9 -13 + 8z = (-12 + 3z) + 9 Reorder the terms: -13 + 8z = -12 + 9 + 3z Combine like terms: -12 + 9 = -3 -13 + 8z = -3 + 3z Solving -13 + 8z = -3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -13 + 8z + -3z = -3 + 3z + -3z Combine like terms: 8z + -3z = 5z -13 + 5z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 -13 + 5z = -3 + 0 -13 + 5z = -3 Add '13' to each side of the equation. -13 + 13 + 5z = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 5z = -3 + 13 5z = -3 + 13 Combine like terms: -3 + 13 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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