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Simplifying -93 = -3(1 + 5a) -93 = (1 * -3 + 5a * -3) -93 = (-3 + -15a) Solving -93 = -3 + -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. -93 + 15a = -3 + -15a + 15a Combine like terms: -15a + 15a = 0 -93 + 15a = -3 + 0 -93 + 15a = -3 Add '93' to each side of the equation. -93 + 93 + 15a = -3 + 93 Combine like terms: -93 + 93 = 0 0 + 15a = -3 + 93 15a = -3 + 93 Combine like terms: -3 + 93 = 90 15a = 90 Divide each side by '15'. a = 6 Simplifying a = 6
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