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Simplifying 2a + -8 = 4(3a + 1) + -7 Reorder the terms: -8 + 2a = 4(3a + 1) + -7 Reorder the terms: -8 + 2a = 4(1 + 3a) + -7 -8 + 2a = (1 * 4 + 3a * 4) + -7 -8 + 2a = (4 + 12a) + -7 Reorder the terms: -8 + 2a = 4 + -7 + 12a Combine like terms: 4 + -7 = -3 -8 + 2a = -3 + 12a Solving -8 + 2a = -3 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -8 + 2a + -12a = -3 + 12a + -12a Combine like terms: 2a + -12a = -10a -8 + -10a = -3 + 12a + -12a Combine like terms: 12a + -12a = 0 -8 + -10a = -3 + 0 -8 + -10a = -3 Add '8' to each side of the equation. -8 + 8 + -10a = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -10a = -3 + 8 -10a = -3 + 8 Combine like terms: -3 + 8 = 5 -10a = 5 Divide each side by '-10'. a = -0.5 Simplifying a = -0.5
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