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Simplifying 7(3a + 1) + -30 = 3(2a + -4) Reorder the terms: 7(1 + 3a) + -30 = 3(2a + -4) (1 * 7 + 3a * 7) + -30 = 3(2a + -4) (7 + 21a) + -30 = 3(2a + -4) Reorder the terms: 7 + -30 + 21a = 3(2a + -4) Combine like terms: 7 + -30 = -23 -23 + 21a = 3(2a + -4) Reorder the terms: -23 + 21a = 3(-4 + 2a) -23 + 21a = (-4 * 3 + 2a * 3) -23 + 21a = (-12 + 6a) Solving -23 + 21a = -12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -23 + 21a + -6a = -12 + 6a + -6a Combine like terms: 21a + -6a = 15a -23 + 15a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 -23 + 15a = -12 + 0 -23 + 15a = -12 Add '23' to each side of the equation. -23 + 23 + 15a = -12 + 23 Combine like terms: -23 + 23 = 0 0 + 15a = -12 + 23 15a = -12 + 23 Combine like terms: -12 + 23 = 11 15a = 11 Divide each side by '15'. a = 0.7333333333 Simplifying a = 0.7333333333
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