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Simplifying -5 + -1(15a + -1) = 2(7a + -16) + -1a Reorder the terms: -5 + -1(-1 + 15a) = 2(7a + -16) + -1a -5 + (-1 * -1 + 15a * -1) = 2(7a + -16) + -1a -5 + (1 + -15a) = 2(7a + -16) + -1a Combine like terms: -5 + 1 = -4 -4 + -15a = 2(7a + -16) + -1a Reorder the terms: -4 + -15a = 2(-16 + 7a) + -1a -4 + -15a = (-16 * 2 + 7a * 2) + -1a -4 + -15a = (-32 + 14a) + -1a Combine like terms: 14a + -1a = 13a -4 + -15a = -32 + 13a Solving -4 + -15a = -32 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -4 + -15a + -13a = -32 + 13a + -13a Combine like terms: -15a + -13a = -28a -4 + -28a = -32 + 13a + -13a Combine like terms: 13a + -13a = 0 -4 + -28a = -32 + 0 -4 + -28a = -32 Add '4' to each side of the equation. -4 + 4 + -28a = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -28a = -32 + 4 -28a = -32 + 4 Combine like terms: -32 + 4 = -28 -28a = -28 Divide each side by '-28'. a = 1 Simplifying a = 1
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