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Simplifying 10d + -176 = 2(4 + -5d) + -3d Reorder the terms: -176 + 10d = 2(4 + -5d) + -3d -176 + 10d = (4 * 2 + -5d * 2) + -3d -176 + 10d = (8 + -10d) + -3d Combine like terms: -10d + -3d = -13d -176 + 10d = 8 + -13d Solving -176 + 10d = 8 + -13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '13d' to each side of the equation. -176 + 10d + 13d = 8 + -13d + 13d Combine like terms: 10d + 13d = 23d -176 + 23d = 8 + -13d + 13d Combine like terms: -13d + 13d = 0 -176 + 23d = 8 + 0 -176 + 23d = 8 Add '176' to each side of the equation. -176 + 176 + 23d = 8 + 176 Combine like terms: -176 + 176 = 0 0 + 23d = 8 + 176 23d = 8 + 176 Combine like terms: 8 + 176 = 184 23d = 184 Divide each side by '23'. d = 8 Simplifying d = 8
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