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Simplifying -5 + (-15d + 1) = 2(7d + -160) + -1d Reorder the terms: -5 + (1 + -15d) = 2(7d + -160) + -1d Remove parenthesis around (1 + -15d) -5 + 1 + -15d = 2(7d + -160) + -1d Combine like terms: -5 + 1 = -4 -4 + -15d = 2(7d + -160) + -1d Reorder the terms: -4 + -15d = 2(-160 + 7d) + -1d -4 + -15d = (-160 * 2 + 7d * 2) + -1d -4 + -15d = (-320 + 14d) + -1d Combine like terms: 14d + -1d = 13d -4 + -15d = -320 + 13d Solving -4 + -15d = -320 + 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. -4 + -15d + -13d = -320 + 13d + -13d Combine like terms: -15d + -13d = -28d -4 + -28d = -320 + 13d + -13d Combine like terms: 13d + -13d = 0 -4 + -28d = -320 + 0 -4 + -28d = -320 Add '4' to each side of the equation. -4 + 4 + -28d = -320 + 4 Combine like terms: -4 + 4 = 0 0 + -28d = -320 + 4 -28d = -320 + 4 Combine like terms: -320 + 4 = -316 -28d = -316 Divide each side by '-28'. d = 11.28571429 Simplifying d = 11.28571429
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