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Simplifying 3(a + -7) = 7a + -4d Reorder the terms: 3(-7 + a) = 7a + -4d (-7 * 3 + a * 3) = 7a + -4d (-21 + 3a) = 7a + -4d Solving -21 + 3a = 7a + -4d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -21 + 3a + -7a = 7a + -7a + -4d Combine like terms: 3a + -7a = -4a -21 + -4a = 7a + -7a + -4d Combine like terms: 7a + -7a = 0 -21 + -4a = 0 + -4d -21 + -4a = -4d Add '21' to each side of the equation. -21 + 21 + -4a = 21 + -4d Combine like terms: -21 + 21 = 0 0 + -4a = 21 + -4d -4a = 21 + -4d Divide each side by '-4'. a = -5.25 + d Simplifying a = -5.25 + d
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