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Simplifying -7(1 + 3a) + 2 = -30 + 4a (1 * -7 + 3a * -7) + 2 = -30 + 4a (-7 + -21a) + 2 = -30 + 4a Reorder the terms: -7 + 2 + -21a = -30 + 4a Combine like terms: -7 + 2 = -5 -5 + -21a = -30 + 4a Solving -5 + -21a = -30 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -5 + -21a + -4a = -30 + 4a + -4a Combine like terms: -21a + -4a = -25a -5 + -25a = -30 + 4a + -4a Combine like terms: 4a + -4a = 0 -5 + -25a = -30 + 0 -5 + -25a = -30 Add '5' to each side of the equation. -5 + 5 + -25a = -30 + 5 Combine like terms: -5 + 5 = 0 0 + -25a = -30 + 5 -25a = -30 + 5 Combine like terms: -30 + 5 = -25 -25a = -25 Divide each side by '-25'. a = 1 Simplifying a = 1
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