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Simplifying -4c + -2(8x + 1) = -1(-2 + -10) Reorder the terms: -4c + -2(1 + 8x) = -1(-2 + -10) -4c + (1 * -2 + 8x * -2) = -1(-2 + -10) -4c + (-2 + -16x) = -1(-2 + -10) Reorder the terms: -2 + -4c + -16x = -1(-2 + -10) Combine like terms: -2 + -10 = -12 -2 + -4c + -16x = -1(-12) Multiply -1 * -12 -2 + -4c + -16x = 12 Solving -2 + -4c + -16x = 12 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -4c + 2 + -16x = 12 + 2 Reorder the terms: -2 + 2 + -4c + -16x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -4c + -16x = 12 + 2 -4c + -16x = 12 + 2 Combine like terms: 12 + 2 = 14 -4c + -16x = 14 Add '16x' to each side of the equation. -4c + -16x + 16x = 14 + 16x Combine like terms: -16x + 16x = 0 -4c + 0 = 14 + 16x -4c = 14 + 16x Divide each side by '-4'. c = -3.5 + -4x Simplifying c = -3.5 + -4x
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