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Simplifying -3(3a + 15) + -1(10 + a) = 35 Reorder the terms: -3(15 + 3a) + -1(10 + a) = 35 (15 * -3 + 3a * -3) + -1(10 + a) = 35 (-45 + -9a) + -1(10 + a) = 35 -45 + -9a + (10 * -1 + a * -1) = 35 -45 + -9a + (-10 + -1a) = 35 Reorder the terms: -45 + -10 + -9a + -1a = 35 Combine like terms: -45 + -10 = -55 -55 + -9a + -1a = 35 Combine like terms: -9a + -1a = -10a -55 + -10a = 35 Solving -55 + -10a = 35 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -10a = 35 + 55 Combine like terms: -55 + 55 = 0 0 + -10a = 35 + 55 -10a = 35 + 55 Combine like terms: 35 + 55 = 90 -10a = 90 Divide each side by '-10'. a = -9 Simplifying a = -9
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