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Simplifying 5d + 13 = 7(d + -3) Reorder the terms: 13 + 5d = 7(d + -3) Reorder the terms: 13 + 5d = 7(-3 + d) 13 + 5d = (-3 * 7 + d * 7) 13 + 5d = (-21 + 7d) Solving 13 + 5d = -21 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 13 + 5d + -7d = -21 + 7d + -7d Combine like terms: 5d + -7d = -2d 13 + -2d = -21 + 7d + -7d Combine like terms: 7d + -7d = 0 13 + -2d = -21 + 0 13 + -2d = -21 Add '-13' to each side of the equation. 13 + -13 + -2d = -21 + -13 Combine like terms: 13 + -13 = 0 0 + -2d = -21 + -13 -2d = -21 + -13 Combine like terms: -21 + -13 = -34 -2d = -34 Divide each side by '-2'. d = 17 Simplifying d = 17
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