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Simplifying -3(-10c + 5) = c + -2(-16c + -3) Reorder the terms: -3(5 + -10c) = c + -2(-16c + -3) (5 * -3 + -10c * -3) = c + -2(-16c + -3) (-15 + 30c) = c + -2(-16c + -3) Reorder the terms: -15 + 30c = c + -2(-3 + -16c) -15 + 30c = c + (-3 * -2 + -16c * -2) -15 + 30c = c + (6 + 32c) Reorder the terms: -15 + 30c = 6 + c + 32c Combine like terms: c + 32c = 33c -15 + 30c = 6 + 33c Solving -15 + 30c = 6 + 33c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-33c' to each side of the equation. -15 + 30c + -33c = 6 + 33c + -33c Combine like terms: 30c + -33c = -3c -15 + -3c = 6 + 33c + -33c Combine like terms: 33c + -33c = 0 -15 + -3c = 6 + 0 -15 + -3c = 6 Add '15' to each side of the equation. -15 + 15 + -3c = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -3c = 6 + 15 -3c = 6 + 15 Combine like terms: 6 + 15 = 21 -3c = 21 Divide each side by '-3'. c = -7 Simplifying c = -7
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