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Simplifying -7(7c + -6) + 8(7c + -1) = -1c + 9(c + 10) Reorder the terms: -7(-6 + 7c) + 8(7c + -1) = -1c + 9(c + 10) (-6 * -7 + 7c * -7) + 8(7c + -1) = -1c + 9(c + 10) (42 + -49c) + 8(7c + -1) = -1c + 9(c + 10) Reorder the terms: 42 + -49c + 8(-1 + 7c) = -1c + 9(c + 10) 42 + -49c + (-1 * 8 + 7c * 8) = -1c + 9(c + 10) 42 + -49c + (-8 + 56c) = -1c + 9(c + 10) Reorder the terms: 42 + -8 + -49c + 56c = -1c + 9(c + 10) Combine like terms: 42 + -8 = 34 34 + -49c + 56c = -1c + 9(c + 10) Combine like terms: -49c + 56c = 7c 34 + 7c = -1c + 9(c + 10) Reorder the terms: 34 + 7c = -1c + 9(10 + c) 34 + 7c = -1c + (10 * 9 + c * 9) 34 + 7c = -1c + (90 + 9c) Reorder the terms: 34 + 7c = 90 + -1c + 9c Combine like terms: -1c + 9c = 8c 34 + 7c = 90 + 8c Solving 34 + 7c = 90 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 34 + 7c + -8c = 90 + 8c + -8c Combine like terms: 7c + -8c = -1c 34 + -1c = 90 + 8c + -8c Combine like terms: 8c + -8c = 0 34 + -1c = 90 + 0 34 + -1c = 90 Add '-34' to each side of the equation. 34 + -34 + -1c = 90 + -34 Combine like terms: 34 + -34 = 0 0 + -1c = 90 + -34 -1c = 90 + -34 Combine like terms: 90 + -34 = 56 -1c = 56 Divide each side by '-1'. c = -56 Simplifying c = -56
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