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Simplifying -3(a + 5) + 2a = a + -21 Reorder the terms: -3(5 + a) + 2a = a + -21 (5 * -3 + a * -3) + 2a = a + -21 (-15 + -3a) + 2a = a + -21 Combine like terms: -3a + 2a = -1a -15 + -1a = a + -21 Reorder the terms: -15 + -1a = -21 + a Solving -15 + -1a = -21 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -15 + -1a + -1a = -21 + a + -1a Combine like terms: -1a + -1a = -2a -15 + -2a = -21 + a + -1a Combine like terms: a + -1a = 0 -15 + -2a = -21 + 0 -15 + -2a = -21 Add '15' to each side of the equation. -15 + 15 + -2a = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -2a = -21 + 15 -2a = -21 + 15 Combine like terms: -21 + 15 = -6 -2a = -6 Divide each side by '-2'. a = 3 Simplifying a = 3
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