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Simplifying 8(d + -2) + 3(d + -6) + 5 = -7 Reorder the terms: 8(-2 + d) + 3(d + -6) + 5 = -7 (-2 * 8 + d * 8) + 3(d + -6) + 5 = -7 (-16 + 8d) + 3(d + -6) + 5 = -7 Reorder the terms: -16 + 8d + 3(-6 + d) + 5 = -7 -16 + 8d + (-6 * 3 + d * 3) + 5 = -7 -16 + 8d + (-18 + 3d) + 5 = -7 Reorder the terms: -16 + -18 + 5 + 8d + 3d = -7 Combine like terms: -16 + -18 = -34 -34 + 5 + 8d + 3d = -7 Combine like terms: -34 + 5 = -29 -29 + 8d + 3d = -7 Combine like terms: 8d + 3d = 11d -29 + 11d = -7 Solving -29 + 11d = -7 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 11d = -7 + 29 Combine like terms: -29 + 29 = 0 0 + 11d = -7 + 29 11d = -7 + 29 Combine like terms: -7 + 29 = 22 11d = 22 Divide each side by '11'. d = 2 Simplifying d = 2
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