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Simplifying 5(-6 + -3d) = 3(a + 7d) (-6 * 5 + -3d * 5) = 3(a + 7d) (-30 + -15d) = 3(a + 7d) -30 + -15d = (a * 3 + 7d * 3) -30 + -15d = (3a + 21d) Solving -30 + -15d = 3a + 21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21d' to each side of the equation. -30 + -15d + -21d = 3a + 21d + -21d Combine like terms: -15d + -21d = -36d -30 + -36d = 3a + 21d + -21d Combine like terms: 21d + -21d = 0 -30 + -36d = 3a + 0 -30 + -36d = 3a Add '30' to each side of the equation. -30 + 30 + -36d = 30 + 3a Combine like terms: -30 + 30 = 0 0 + -36d = 30 + 3a -36d = 30 + 3a Divide each side by '-36'. d = -0.8333333333 + -0.08333333333a Simplifying d = -0.8333333333 + -0.08333333333a
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