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Simplifying 4(4c + -1) + -3 = 13c + 8 Reorder the terms: 4(-1 + 4c) + -3 = 13c + 8 (-1 * 4 + 4c * 4) + -3 = 13c + 8 (-4 + 16c) + -3 = 13c + 8 Reorder the terms: -4 + -3 + 16c = 13c + 8 Combine like terms: -4 + -3 = -7 -7 + 16c = 13c + 8 Reorder the terms: -7 + 16c = 8 + 13c Solving -7 + 16c = 8 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. -7 + 16c + -13c = 8 + 13c + -13c Combine like terms: 16c + -13c = 3c -7 + 3c = 8 + 13c + -13c Combine like terms: 13c + -13c = 0 -7 + 3c = 8 + 0 -7 + 3c = 8 Add '7' to each side of the equation. -7 + 7 + 3c = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3c = 8 + 7 3c = 8 + 7 Combine like terms: 8 + 7 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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