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Simplifying 1 + 4(2c + -3) = 3(3c + -5) Reorder the terms: 1 + 4(-3 + 2c) = 3(3c + -5) 1 + (-3 * 4 + 2c * 4) = 3(3c + -5) 1 + (-12 + 8c) = 3(3c + -5) Combine like terms: 1 + -12 = -11 -11 + 8c = 3(3c + -5) Reorder the terms: -11 + 8c = 3(-5 + 3c) -11 + 8c = (-5 * 3 + 3c * 3) -11 + 8c = (-15 + 9c) Solving -11 + 8c = -15 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -11 + 8c + -9c = -15 + 9c + -9c Combine like terms: 8c + -9c = -1c -11 + -1c = -15 + 9c + -9c Combine like terms: 9c + -9c = 0 -11 + -1c = -15 + 0 -11 + -1c = -15 Add '11' to each side of the equation. -11 + 11 + -1c = -15 + 11 Combine like terms: -11 + 11 = 0 0 + -1c = -15 + 11 -1c = -15 + 11 Combine like terms: -15 + 11 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4
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