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Simplifying -15 + -18(c) + 11 = -5(-4(c) + 14) + -10 Reorder the terms: -15 + 11 + -18c = -5(-4(c) + 14) + -10 Combine like terms: -15 + 11 = -4 -4 + -18c = -5(-4(c) + 14) + -10 Reorder the terms: -4 + -18c = -5(14 + -4c) + -10 -4 + -18c = (14 * -5 + -4c * -5) + -10 -4 + -18c = (-70 + 20c) + -10 Reorder the terms: -4 + -18c = -70 + -10 + 20c Combine like terms: -70 + -10 = -80 -4 + -18c = -80 + 20c Solving -4 + -18c = -80 + 20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20c' to each side of the equation. -4 + -18c + -20c = -80 + 20c + -20c Combine like terms: -18c + -20c = -38c -4 + -38c = -80 + 20c + -20c Combine like terms: 20c + -20c = 0 -4 + -38c = -80 + 0 -4 + -38c = -80 Add '4' to each side of the equation. -4 + 4 + -38c = -80 + 4 Combine like terms: -4 + 4 = 0 0 + -38c = -80 + 4 -38c = -80 + 4 Combine like terms: -80 + 4 = -76 -38c = -76 Divide each side by '-38'. c = 2 Simplifying c = 2
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