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Simplifying 5(2d + -7) + -4(d + 5) = -1 Reorder the terms: 5(-7 + 2d) + -4(d + 5) = -1 (-7 * 5 + 2d * 5) + -4(d + 5) = -1 (-35 + 10d) + -4(d + 5) = -1 Reorder the terms: -35 + 10d + -4(5 + d) = -1 -35 + 10d + (5 * -4 + d * -4) = -1 -35 + 10d + (-20 + -4d) = -1 Reorder the terms: -35 + -20 + 10d + -4d = -1 Combine like terms: -35 + -20 = -55 -55 + 10d + -4d = -1 Combine like terms: 10d + -4d = 6d -55 + 6d = -1 Solving -55 + 6d = -1 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 6d = -1 + 55 Combine like terms: -55 + 55 = 0 0 + 6d = -1 + 55 6d = -1 + 55 Combine like terms: -1 + 55 = 54 6d = 54 Divide each side by '6'. d = 9 Simplifying d = 9
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