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Simplifying 7(c + -3) = 8(c + -5) Reorder the terms: 7(-3 + c) = 8(c + -5) (-3 * 7 + c * 7) = 8(c + -5) (-21 + 7c) = 8(c + -5) Reorder the terms: -21 + 7c = 8(-5 + c) -21 + 7c = (-5 * 8 + c * 8) -21 + 7c = (-40 + 8c) Solving -21 + 7c = -40 + 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. -21 + 7c + -8c = -40 + 8c + -8c Combine like terms: 7c + -8c = -1c -21 + -1c = -40 + 8c + -8c Combine like terms: 8c + -8c = 0 -21 + -1c = -40 + 0 -21 + -1c = -40 Add '21' to each side of the equation. -21 + 21 + -1c = -40 + 21 Combine like terms: -21 + 21 = 0 0 + -1c = -40 + 21 -1c = -40 + 21 Combine like terms: -40 + 21 = -19 -1c = -19 Divide each side by '-1'. c = 19 Simplifying c = 19
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