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Simplifying 45 = 8(d + -2) + 5 Reorder the terms: 45 = 8(-2 + d) + 5 45 = (-2 * 8 + d * 8) + 5 45 = (-16 + 8d) + 5 Reorder the terms: 45 = -16 + 5 + 8d Combine like terms: -16 + 5 = -11 45 = -11 + 8d Solving 45 = -11 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 45 + -8d = -11 + 8d + -8d Combine like terms: 8d + -8d = 0 45 + -8d = -11 + 0 45 + -8d = -11 Add '-45' to each side of the equation. 45 + -45 + -8d = -11 + -45 Combine like terms: 45 + -45 = 0 0 + -8d = -11 + -45 -8d = -11 + -45 Combine like terms: -11 + -45 = -56 -8d = -56 Divide each side by '-8'. d = 7 Simplifying d = 7
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