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Simplifying -19 + -7a = 8(-4a + 7) Reorder the terms: -19 + -7a = 8(7 + -4a) -19 + -7a = (7 * 8 + -4a * 8) -19 + -7a = (56 + -32a) Solving -19 + -7a = 56 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. -19 + -7a + 32a = 56 + -32a + 32a Combine like terms: -7a + 32a = 25a -19 + 25a = 56 + -32a + 32a Combine like terms: -32a + 32a = 0 -19 + 25a = 56 + 0 -19 + 25a = 56 Add '19' to each side of the equation. -19 + 19 + 25a = 56 + 19 Combine like terms: -19 + 19 = 0 0 + 25a = 56 + 19 25a = 56 + 19 Combine like terms: 56 + 19 = 75 25a = 75 Divide each side by '25'. a = 3 Simplifying a = 3
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