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Simplifying 2[d + -1(d + 14) + 9] = 2(d + 5) Reorder the terms: 2[d + -1(14 + d) + 9] = 2(d + 5) 2[d + (14 * -1 + d * -1) + 9] = 2(d + 5) 2[d + (-14 + -1d) + 9] = 2(d + 5) Reorder the terms: 2[-14 + 9 + d + -1d] = 2(d + 5) Combine like terms: -14 + 9 = -5 2[-5 + d + -1d] = 2(d + 5) Combine like terms: d + -1d = 0 2[-5 + 0] = 2(d + 5) 2[-5] = 2(d + 5) Multiply 2 * -5 -10 = 2(d + 5) Reorder the terms: -10 = 2(5 + d) -10 = (5 * 2 + d * 2) -10 = (10 + 2d) Solving -10 = 10 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -10 + -2d = 10 + 2d + -2d Combine like terms: 2d + -2d = 0 -10 + -2d = 10 + 0 -10 + -2d = 10 Add '10' to each side of the equation. -10 + 10 + -2d = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2d = 10 + 10 -2d = 10 + 10 Combine like terms: 10 + 10 = 20 -2d = 20 Divide each side by '-2'. d = -10 Simplifying d = -10
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