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Simplifying 6a + -4(a + 3) = 7a Reorder the terms: 6a + -4(3 + a) = 7a 6a + (3 * -4 + a * -4) = 7a 6a + (-12 + -4a) = 7a Reorder the terms: -12 + 6a + -4a = 7a Combine like terms: 6a + -4a = 2a -12 + 2a = 7a Solving -12 + 2a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -12 + 2a + -7a = 7a + -7a Combine like terms: 2a + -7a = -5a -12 + -5a = 7a + -7a Combine like terms: 7a + -7a = 0 -12 + -5a = 0 Add '12' to each side of the equation. -12 + 12 + -5a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5a = 0 + 12 -5a = 0 + 12 Combine like terms: 0 + 12 = 12 -5a = 12 Divide each side by '-5'. a = -2.4 Simplifying a = -2.4
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