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Simplifying 2a + -6 = 4(3a + 1) + -3 Reorder the terms: -6 + 2a = 4(3a + 1) + -3 Reorder the terms: -6 + 2a = 4(1 + 3a) + -3 -6 + 2a = (1 * 4 + 3a * 4) + -3 -6 + 2a = (4 + 12a) + -3 Reorder the terms: -6 + 2a = 4 + -3 + 12a Combine like terms: 4 + -3 = 1 -6 + 2a = 1 + 12a Solving -6 + 2a = 1 + 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. -6 + 2a + -12a = 1 + 12a + -12a Combine like terms: 2a + -12a = -10a -6 + -10a = 1 + 12a + -12a Combine like terms: 12a + -12a = 0 -6 + -10a = 1 + 0 -6 + -10a = 1 Add '6' to each side of the equation. -6 + 6 + -10a = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -10a = 1 + 6 -10a = 1 + 6 Combine like terms: 1 + 6 = 7 -10a = 7 Divide each side by '-10'. a = -0.7 Simplifying a = -0.7
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