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Simplifying 3(d + -3) = 5(2d + 1) Reorder the terms: 3(-3 + d) = 5(2d + 1) (-3 * 3 + d * 3) = 5(2d + 1) (-9 + 3d) = 5(2d + 1) Reorder the terms: -9 + 3d = 5(1 + 2d) -9 + 3d = (1 * 5 + 2d * 5) -9 + 3d = (5 + 10d) Solving -9 + 3d = 5 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -9 + 3d + -10d = 5 + 10d + -10d Combine like terms: 3d + -10d = -7d -9 + -7d = 5 + 10d + -10d Combine like terms: 10d + -10d = 0 -9 + -7d = 5 + 0 -9 + -7d = 5 Add '9' to each side of the equation. -9 + 9 + -7d = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -7d = 5 + 9 -7d = 5 + 9 Combine like terms: 5 + 9 = 14 -7d = 14 Divide each side by '-7'. d = -2 Simplifying d = -2
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