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Simplifying 3(d + -19) = 2(29 + -1d) Reorder the terms: 3(-19 + d) = 2(29 + -1d) (-19 * 3 + d * 3) = 2(29 + -1d) (-57 + 3d) = 2(29 + -1d) -57 + 3d = (29 * 2 + -1d * 2) -57 + 3d = (58 + -2d) Solving -57 + 3d = 58 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -57 + 3d + 2d = 58 + -2d + 2d Combine like terms: 3d + 2d = 5d -57 + 5d = 58 + -2d + 2d Combine like terms: -2d + 2d = 0 -57 + 5d = 58 + 0 -57 + 5d = 58 Add '57' to each side of the equation. -57 + 57 + 5d = 58 + 57 Combine like terms: -57 + 57 = 0 0 + 5d = 58 + 57 5d = 58 + 57 Combine like terms: 58 + 57 = 115 5d = 115 Divide each side by '5'. d = 23 Simplifying d = 23
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