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Simplifying (d + -4) + 16 = 10(d + -1) + 4 Reorder the terms: (-4 + d) + 16 = 10(d + -1) + 4 Remove parenthesis around (-4 + d) -4 + d + 16 = 10(d + -1) + 4 Reorder the terms: -4 + 16 + d = 10(d + -1) + 4 Combine like terms: -4 + 16 = 12 12 + d = 10(d + -1) + 4 Reorder the terms: 12 + d = 10(-1 + d) + 4 12 + d = (-1 * 10 + d * 10) + 4 12 + d = (-10 + 10d) + 4 Reorder the terms: 12 + d = -10 + 4 + 10d Combine like terms: -10 + 4 = -6 12 + d = -6 + 10d Solving 12 + d = -6 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 12 + d + -10d = -6 + 10d + -10d Combine like terms: d + -10d = -9d 12 + -9d = -6 + 10d + -10d Combine like terms: 10d + -10d = 0 12 + -9d = -6 + 0 12 + -9d = -6 Add '-12' to each side of the equation. 12 + -12 + -9d = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9d = -6 + -12 -9d = -6 + -12 Combine like terms: -6 + -12 = -18 -9d = -18 Divide each side by '-9'. d = 2 Simplifying d = 2
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