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Simplifying (3a + 1) + -30 = 3(2a + -4) Reorder the terms: (1 + 3a) + -30 = 3(2a + -4) Remove parenthesis around (1 + 3a) 1 + 3a + -30 = 3(2a + -4) Reorder the terms: 1 + -30 + 3a = 3(2a + -4) Combine like terms: 1 + -30 = -29 -29 + 3a = 3(2a + -4) Reorder the terms: -29 + 3a = 3(-4 + 2a) -29 + 3a = (-4 * 3 + 2a * 3) -29 + 3a = (-12 + 6a) Solving -29 + 3a = -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. -29 + 3a + -6a = -12 + 6a + -6a Combine like terms: 3a + -6a = -3a -29 + -3a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 -29 + -3a = -12 + 0 -29 + -3a = -12 Add '29' to each side of the equation. -29 + 29 + -3a = -12 + 29 Combine like terms: -29 + 29 = 0 0 + -3a = -12 + 29 -3a = -12 + 29 Combine like terms: -12 + 29 = 17 -3a = 17 Divide each side by '-3'. a = -5.666666667 Simplifying a = -5.666666667
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