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Simplifying 52 + -1(3c + 4) = 4(c + 6) + 6 Reorder the terms: 52 + -1(4 + 3c) = 4(c + 6) + 6 52 + (4 * -1 + 3c * -1) = 4(c + 6) + 6 52 + (-4 + -3c) = 4(c + 6) + 6 Combine like terms: 52 + -4 = 48 48 + -3c = 4(c + 6) + 6 Reorder the terms: 48 + -3c = 4(6 + c) + 6 48 + -3c = (6 * 4 + c * 4) + 6 48 + -3c = (24 + 4c) + 6 Reorder the terms: 48 + -3c = 24 + 6 + 4c Combine like terms: 24 + 6 = 30 48 + -3c = 30 + 4c Solving 48 + -3c = 30 + 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. 48 + -3c + -4c = 30 + 4c + -4c Combine like terms: -3c + -4c = -7c 48 + -7c = 30 + 4c + -4c Combine like terms: 4c + -4c = 0 48 + -7c = 30 + 0 48 + -7c = 30 Add '-48' to each side of the equation. 48 + -48 + -7c = 30 + -48 Combine like terms: 48 + -48 = 0 0 + -7c = 30 + -48 -7c = 30 + -48 Combine like terms: 30 + -48 = -18 -7c = -18 Divide each side by '-7'. c = 2.571428571 Simplifying c = 2.571428571
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