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Simplifying 5(a + -3) = 10a + -5 Reorder the terms: 5(-3 + a) = 10a + -5 (-3 * 5 + a * 5) = 10a + -5 (-15 + 5a) = 10a + -5 Reorder the terms: -15 + 5a = -5 + 10a Solving -15 + 5a = -5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -15 + 5a + -10a = -5 + 10a + -10a Combine like terms: 5a + -10a = -5a -15 + -5a = -5 + 10a + -10a Combine like terms: 10a + -10a = 0 -15 + -5a = -5 + 0 -15 + -5a = -5 Add '15' to each side of the equation. -15 + 15 + -5a = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -5a = -5 + 15 -5a = -5 + 15 Combine like terms: -5 + 15 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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