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Simplifying -6(15c + -4) = 16 + 7(-14c + -16) Reorder the terms: -6(-4 + 15c) = 16 + 7(-14c + -16) (-4 * -6 + 15c * -6) = 16 + 7(-14c + -16) (24 + -90c) = 16 + 7(-14c + -16) Reorder the terms: 24 + -90c = 16 + 7(-16 + -14c) 24 + -90c = 16 + (-16 * 7 + -14c * 7) 24 + -90c = 16 + (-112 + -98c) Combine like terms: 16 + -112 = -96 24 + -90c = -96 + -98c Solving 24 + -90c = -96 + -98c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '98c' to each side of the equation. 24 + -90c + 98c = -96 + -98c + 98c Combine like terms: -90c + 98c = 8c 24 + 8c = -96 + -98c + 98c Combine like terms: -98c + 98c = 0 24 + 8c = -96 + 0 24 + 8c = -96 Add '-24' to each side of the equation. 24 + -24 + 8c = -96 + -24 Combine like terms: 24 + -24 = 0 0 + 8c = -96 + -24 8c = -96 + -24 Combine like terms: -96 + -24 = -120 8c = -120 Divide each side by '8'. c = -15 Simplifying c = -15
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