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Simplifying -6(3c + 5) + 3c + 5 = c + -45 Reorder the terms: -6(5 + 3c) + 3c + 5 = c + -45 (5 * -6 + 3c * -6) + 3c + 5 = c + -45 (-30 + -18c) + 3c + 5 = c + -45 Reorder the terms: -30 + 5 + -18c + 3c = c + -45 Combine like terms: -30 + 5 = -25 -25 + -18c + 3c = c + -45 Combine like terms: -18c + 3c = -15c -25 + -15c = c + -45 Reorder the terms: -25 + -15c = -45 + c Solving -25 + -15c = -45 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -25 + -15c + -1c = -45 + c + -1c Combine like terms: -15c + -1c = -16c -25 + -16c = -45 + c + -1c Combine like terms: c + -1c = 0 -25 + -16c = -45 + 0 -25 + -16c = -45 Add '25' to each side of the equation. -25 + 25 + -16c = -45 + 25 Combine like terms: -25 + 25 = 0 0 + -16c = -45 + 25 -16c = -45 + 25 Combine like terms: -45 + 25 = -20 -16c = -20 Divide each side by '-16'. c = 1.25 Simplifying c = 1.25
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