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Simplifying 5(a + -1) = 7a + -19 Reorder the terms: 5(-1 + a) = 7a + -19 (-1 * 5 + a * 5) = 7a + -19 (-5 + 5a) = 7a + -19 Reorder the terms: -5 + 5a = -19 + 7a Solving -5 + 5a = -19 + 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. -5 + 5a + -7a = -19 + 7a + -7a Combine like terms: 5a + -7a = -2a -5 + -2a = -19 + 7a + -7a Combine like terms: 7a + -7a = 0 -5 + -2a = -19 + 0 -5 + -2a = -19 Add '5' to each side of the equation. -5 + 5 + -2a = -19 + 5 Combine like terms: -5 + 5 = 0 0 + -2a = -19 + 5 -2a = -19 + 5 Combine like terms: -19 + 5 = -14 -2a = -14 Divide each side by '-2'. a = 7 Simplifying a = 7
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