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Simplifying -111 = -6(1 + -2.5a) -111 = (1 * -6 + -2.5a * -6) -111 = (-6 + 15a) Solving -111 = -6 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -111 + -15a = -6 + 15a + -15a Combine like terms: 15a + -15a = 0 -111 + -15a = -6 + 0 -111 + -15a = -6 Add '111' to each side of the equation. -111 + 111 + -15a = -6 + 111 Combine like terms: -111 + 111 = 0 0 + -15a = -6 + 111 -15a = -6 + 111 Combine like terms: -6 + 111 = 105 -15a = 105 Divide each side by '-15'. a = -7 Simplifying a = -7
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