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Simplifying -3(5a + 2) = 35 + -7a Reorder the terms: -3(2 + 5a) = 35 + -7a (2 * -3 + 5a * -3) = 35 + -7a (-6 + -15a) = 35 + -7a Solving -6 + -15a = 35 + -7a 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. -6 + -15a + 7a = 35 + -7a + 7a Combine like terms: -15a + 7a = -8a -6 + -8a = 35 + -7a + 7a Combine like terms: -7a + 7a = 0 -6 + -8a = 35 + 0 -6 + -8a = 35 Add '6' to each side of the equation. -6 + 6 + -8a = 35 + 6 Combine like terms: -6 + 6 = 0 0 + -8a = 35 + 6 -8a = 35 + 6 Combine like terms: 35 + 6 = 41 -8a = 41 Divide each side by '-8'. a = -5.125 Simplifying a = -5.125
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