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Simplifying -30 + 7a = 3(7 + 8a) -30 + 7a = (7 * 3 + 8a * 3) -30 + 7a = (21 + 24a) Solving -30 + 7a = 21 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -30 + 7a + -24a = 21 + 24a + -24a Combine like terms: 7a + -24a = -17a -30 + -17a = 21 + 24a + -24a Combine like terms: 24a + -24a = 0 -30 + -17a = 21 + 0 -30 + -17a = 21 Add '30' to each side of the equation. -30 + 30 + -17a = 21 + 30 Combine like terms: -30 + 30 = 0 0 + -17a = 21 + 30 -17a = 21 + 30 Combine like terms: 21 + 30 = 51 -17a = 51 Divide each side by '-17'. a = -3 Simplifying a = -3
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