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Simplifying -9a + 48 = 1 + -7(1a + -9) Reorder the terms: 48 + -9a = 1 + -7(1a + -9) Reorder the terms: 48 + -9a = 1 + -7(-9 + 1a) 48 + -9a = 1 + (-9 * -7 + 1a * -7) 48 + -9a = 1 + (63 + -7a) Combine like terms: 1 + 63 = 64 48 + -9a = 64 + -7a Solving 48 + -9a = 64 + -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. 48 + -9a + 7a = 64 + -7a + 7a Combine like terms: -9a + 7a = -2a 48 + -2a = 64 + -7a + 7a Combine like terms: -7a + 7a = 0 48 + -2a = 64 + 0 48 + -2a = 64 Add '-48' to each side of the equation. 48 + -48 + -2a = 64 + -48 Combine like terms: 48 + -48 = 0 0 + -2a = 64 + -48 -2a = 64 + -48 Combine like terms: 64 + -48 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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