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Simplifying 3(1 + d) + -5 = 3d + -1c (1 * 3 + d * 3) + -5 = 3d + -1c (3 + 3d) + -5 = 3d + -1c Reorder the terms: 3 + -5 + 3d = 3d + -1c Combine like terms: 3 + -5 = -2 -2 + 3d = 3d + -1c Reorder the terms: -2 + 3d = -1c + 3d Add '-3d' to each side of the equation. -2 + 3d + -3d = -1c + 3d + -3d Combine like terms: 3d + -3d = 0 -2 + 0 = -1c + 3d + -3d -2 = -1c + 3d + -3d Combine like terms: 3d + -3d = 0 -2 = -1c + 0 -2 = -1c Solving -2 = -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -2 + c = -1c + c Combine like terms: -1c + c = 0 -2 + c = 0 Add '2' to each side of the equation. -2 + 2 + c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + c = 0 + 2 c = 0 + 2 Combine like terms: 0 + 2 = 2 c = 2 Simplifying c = 2
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