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Simplifying 4(a + -3) = a + 30 Reorder the terms: 4(-3 + a) = a + 30 (-3 * 4 + a * 4) = a + 30 (-12 + 4a) = a + 30 Reorder the terms: -12 + 4a = 30 + a Solving -12 + 4a = 30 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -12 + 4a + -1a = 30 + a + -1a Combine like terms: 4a + -1a = 3a -12 + 3a = 30 + a + -1a Combine like terms: a + -1a = 0 -12 + 3a = 30 + 0 -12 + 3a = 30 Add '12' to each side of the equation. -12 + 12 + 3a = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = 30 + 12 3a = 30 + 12 Combine like terms: 30 + 12 = 42 3a = 42 Divide each side by '3'. a = 14 Simplifying a = 14
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