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Simplifying 2a + -7 = 4(3a + 1) + -6 Reorder the terms: -7 + 2a = 4(3a + 1) + -6 Reorder the terms: -7 + 2a = 4(1 + 3a) + -6 -7 + 2a = (1 * 4 + 3a * 4) + -6 -7 + 2a = (4 + 12a) + -6 Reorder the terms: -7 + 2a = 4 + -6 + 12a Combine like terms: 4 + -6 = -2 -7 + 2a = -2 + 12a Solving -7 + 2a = -2 + 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. -7 + 2a + -12a = -2 + 12a + -12a Combine like terms: 2a + -12a = -10a -7 + -10a = -2 + 12a + -12a Combine like terms: 12a + -12a = 0 -7 + -10a = -2 + 0 -7 + -10a = -2 Add '7' to each side of the equation. -7 + 7 + -10a = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -10a = -2 + 7 -10a = -2 + 7 Combine like terms: -2 + 7 = 5 -10a = 5 Divide each side by '-10'. a = -0.5 Simplifying a = -0.5
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