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Simplifying -13d + -21 = -3(d + 7) + -10a Reorder the terms: -21 + -13d = -3(d + 7) + -10a Reorder the terms: -21 + -13d = -3(7 + d) + -10a -21 + -13d = (7 * -3 + d * -3) + -10a -21 + -13d = (-21 + -3d) + -10a Reorder the terms: -21 + -13d = -21 + -10a + -3d Add '21' to each side of the equation. -21 + 21 + -13d = -21 + -10a + 21 + -3d Combine like terms: -21 + 21 = 0 0 + -13d = -21 + -10a + 21 + -3d -13d = -21 + -10a + 21 + -3d Reorder the terms: -13d = -21 + 21 + -10a + -3d Combine like terms: -21 + 21 = 0 -13d = 0 + -10a + -3d -13d = -10a + -3d Solving -13d = -10a + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -13d + 3d = -10a + -3d + 3d Combine like terms: -13d + 3d = -10d -10d = -10a + -3d + 3d Combine like terms: -3d + 3d = 0 -10d = -10a + 0 -10d = -10a Divide each side by '-10'. d = a Simplifying d = a
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