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Simplifying 30 + -4a = -8(6 + 2a) + -1a 30 + -4a = (6 * -8 + 2a * -8) + -1a 30 + -4a = (-48 + -16a) + -1a Combine like terms: -16a + -1a = -17a 30 + -4a = -48 + -17a Solving 30 + -4a = -48 + -17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17a' to each side of the equation. 30 + -4a + 17a = -48 + -17a + 17a Combine like terms: -4a + 17a = 13a 30 + 13a = -48 + -17a + 17a Combine like terms: -17a + 17a = 0 30 + 13a = -48 + 0 30 + 13a = -48 Add '-30' to each side of the equation. 30 + -30 + 13a = -48 + -30 Combine like terms: 30 + -30 = 0 0 + 13a = -48 + -30 13a = -48 + -30 Combine like terms: -48 + -30 = -78 13a = -78 Divide each side by '13'. a = -6 Simplifying a = -6
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