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Simplifying -21 + -6d = -7(4d + 9) Reorder the terms: -21 + -6d = -7(9 + 4d) -21 + -6d = (9 * -7 + 4d * -7) -21 + -6d = (-63 + -28d) Solving -21 + -6d = -63 + -28d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '28d' to each side of the equation. -21 + -6d + 28d = -63 + -28d + 28d Combine like terms: -6d + 28d = 22d -21 + 22d = -63 + -28d + 28d Combine like terms: -28d + 28d = 0 -21 + 22d = -63 + 0 -21 + 22d = -63 Add '21' to each side of the equation. -21 + 21 + 22d = -63 + 21 Combine like terms: -21 + 21 = 0 0 + 22d = -63 + 21 22d = -63 + 21 Combine like terms: -63 + 21 = -42 22d = -42 Divide each side by '22'. d = -1.909090909 Simplifying d = -1.909090909
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