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Simplifying -3d + -13 + 10d = 5 + -5(-6d + -1) Reorder the terms: -13 + -3d + 10d = 5 + -5(-6d + -1) Combine like terms: -3d + 10d = 7d -13 + 7d = 5 + -5(-6d + -1) Reorder the terms: -13 + 7d = 5 + -5(-1 + -6d) -13 + 7d = 5 + (-1 * -5 + -6d * -5) -13 + 7d = 5 + (5 + 30d) Combine like terms: 5 + 5 = 10 -13 + 7d = 10 + 30d Solving -13 + 7d = 10 + 30d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30d' to each side of the equation. -13 + 7d + -30d = 10 + 30d + -30d Combine like terms: 7d + -30d = -23d -13 + -23d = 10 + 30d + -30d Combine like terms: 30d + -30d = 0 -13 + -23d = 10 + 0 -13 + -23d = 10 Add '13' to each side of the equation. -13 + 13 + -23d = 10 + 13 Combine like terms: -13 + 13 = 0 0 + -23d = 10 + 13 -23d = 10 + 13 Combine like terms: 10 + 13 = 23 -23d = 23 Divide each side by '-23'. d = -1 Simplifying d = -1
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