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Simplifying 6(d + -8) = (14 + -1d) Reorder the terms: 6(-8 + d) = (14 + -1d) (-8 * 6 + d * 6) = (14 + -1d) (-48 + 6d) = (14 + -1d) Remove parenthesis around (14 + -1d) -48 + 6d = 14 + -1d Solving -48 + 6d = 14 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. -48 + 6d + d = 14 + -1d + d Combine like terms: 6d + d = 7d -48 + 7d = 14 + -1d + d Combine like terms: -1d + d = 0 -48 + 7d = 14 + 0 -48 + 7d = 14 Add '48' to each side of the equation. -48 + 48 + 7d = 14 + 48 Combine like terms: -48 + 48 = 0 0 + 7d = 14 + 48 7d = 14 + 48 Combine like terms: 14 + 48 = 62 7d = 62 Divide each side by '7'. d = 8.857142857 Simplifying d = 8.857142857
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