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Simplifying 8x + 4(4c + -3) = 4(6 + 4) + -4 Reorder the terms: 8x + 4(-3 + 4c) = 4(6 + 4) + -4 8x + (-3 * 4 + 4c * 4) = 4(6 + 4) + -4 8x + (-12 + 16c) = 4(6 + 4) + -4 Reorder the terms: -12 + 16c + 8x = 4(6 + 4) + -4 Combine like terms: 6 + 4 = 10 -12 + 16c + 8x = 4(10) + -4 Multiply 4 * 10 -12 + 16c + 8x = 40 + -4 Combine like terms: 40 + -4 = 36 -12 + 16c + 8x = 36 Solving -12 + 16c + 8x = 36 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 16c + 12 + 8x = 36 + 12 Reorder the terms: -12 + 12 + 16c + 8x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 16c + 8x = 36 + 12 16c + 8x = 36 + 12 Combine like terms: 36 + 12 = 48 16c + 8x = 48 Add '-8x' to each side of the equation. 16c + 8x + -8x = 48 + -8x Combine like terms: 8x + -8x = 0 16c + 0 = 48 + -8x 16c = 48 + -8x Divide each side by '16'. c = 3 + -0.5x Simplifying c = 3 + -0.5x
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