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Simplifying 3c + 8 = 4(c + -2) + 7 Reorder the terms: 8 + 3c = 4(c + -2) + 7 Reorder the terms: 8 + 3c = 4(-2 + c) + 7 8 + 3c = (-2 * 4 + c * 4) + 7 8 + 3c = (-8 + 4c) + 7 Reorder the terms: 8 + 3c = -8 + 7 + 4c Combine like terms: -8 + 7 = -1 8 + 3c = -1 + 4c Solving 8 + 3c = -1 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 8 + 3c + -4c = -1 + 4c + -4c Combine like terms: 3c + -4c = -1c 8 + -1c = -1 + 4c + -4c Combine like terms: 4c + -4c = 0 8 + -1c = -1 + 0 8 + -1c = -1 Add '-8' to each side of the equation. 8 + -8 + -1c = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -1c = -1 + -8 -1c = -1 + -8 Combine like terms: -1 + -8 = -9 -1c = -9 Divide each side by '-1'. c = 9 Simplifying c = 9
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