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Simplifying 42 + -1(3c + 4) = 2(c + 4) + 6 Reorder the terms: 42 + -1(4 + 3c) = 2(c + 4) + 6 42 + (4 * -1 + 3c * -1) = 2(c + 4) + 6 42 + (-4 + -3c) = 2(c + 4) + 6 Combine like terms: 42 + -4 = 38 38 + -3c = 2(c + 4) + 6 Reorder the terms: 38 + -3c = 2(4 + c) + 6 38 + -3c = (4 * 2 + c * 2) + 6 38 + -3c = (8 + 2c) + 6 Reorder the terms: 38 + -3c = 8 + 6 + 2c Combine like terms: 8 + 6 = 14 38 + -3c = 14 + 2c Solving 38 + -3c = 14 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 38 + -3c + -2c = 14 + 2c + -2c Combine like terms: -3c + -2c = -5c 38 + -5c = 14 + 2c + -2c Combine like terms: 2c + -2c = 0 38 + -5c = 14 + 0 38 + -5c = 14 Add '-38' to each side of the equation. 38 + -38 + -5c = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -5c = 14 + -38 -5c = 14 + -38 Combine like terms: 14 + -38 = -24 -5c = -24 Divide each side by '-5'. c = 4.8 Simplifying c = 4.8
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