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Simplifying 13d + -5 = 3(3d + -7) Reorder the terms: -5 + 13d = 3(3d + -7) Reorder the terms: -5 + 13d = 3(-7 + 3d) -5 + 13d = (-7 * 3 + 3d * 3) -5 + 13d = (-21 + 9d) Solving -5 + 13d = -21 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -5 + 13d + -9d = -21 + 9d + -9d Combine like terms: 13d + -9d = 4d -5 + 4d = -21 + 9d + -9d Combine like terms: 9d + -9d = 0 -5 + 4d = -21 + 0 -5 + 4d = -21 Add '5' to each side of the equation. -5 + 5 + 4d = -21 + 5 Combine like terms: -5 + 5 = 0 0 + 4d = -21 + 5 4d = -21 + 5 Combine like terms: -21 + 5 = -16 4d = -16 Divide each side by '4'. d = -4 Simplifying d = -4
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