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Simplifying 3 + -7(a + 4) = -37 + -3a Reorder the terms: 3 + -7(4 + a) = -37 + -3a 3 + (4 * -7 + a * -7) = -37 + -3a 3 + (-28 + -7a) = -37 + -3a Combine like terms: 3 + -28 = -25 -25 + -7a = -37 + -3a Solving -25 + -7a = -37 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -25 + -7a + 3a = -37 + -3a + 3a Combine like terms: -7a + 3a = -4a -25 + -4a = -37 + -3a + 3a Combine like terms: -3a + 3a = 0 -25 + -4a = -37 + 0 -25 + -4a = -37 Add '25' to each side of the equation. -25 + 25 + -4a = -37 + 25 Combine like terms: -25 + 25 = 0 0 + -4a = -37 + 25 -4a = -37 + 25 Combine like terms: -37 + 25 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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