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Simplifying 6(d + -7) = 8(d + 9) Reorder the terms: 6(-7 + d) = 8(d + 9) (-7 * 6 + d * 6) = 8(d + 9) (-42 + 6d) = 8(d + 9) Reorder the terms: -42 + 6d = 8(9 + d) -42 + 6d = (9 * 8 + d * 8) -42 + 6d = (72 + 8d) Solving -42 + 6d = 72 + 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. -42 + 6d + -8d = 72 + 8d + -8d Combine like terms: 6d + -8d = -2d -42 + -2d = 72 + 8d + -8d Combine like terms: 8d + -8d = 0 -42 + -2d = 72 + 0 -42 + -2d = 72 Add '42' to each side of the equation. -42 + 42 + -2d = 72 + 42 Combine like terms: -42 + 42 = 0 0 + -2d = 72 + 42 -2d = 72 + 42 Combine like terms: 72 + 42 = 114 -2d = 114 Divide each side by '-2'. d = -57 Simplifying d = -57
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