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Simplifying 2(a + -3) + -7(1 + -3a) = 4a + 6a Reorder the terms: 2(-3 + a) + -7(1 + -3a) = 4a + 6a (-3 * 2 + a * 2) + -7(1 + -3a) = 4a + 6a (-6 + 2a) + -7(1 + -3a) = 4a + 6a -6 + 2a + (1 * -7 + -3a * -7) = 4a + 6a -6 + 2a + (-7 + 21a) = 4a + 6a Reorder the terms: -6 + -7 + 2a + 21a = 4a + 6a Combine like terms: -6 + -7 = -13 -13 + 2a + 21a = 4a + 6a Combine like terms: 2a + 21a = 23a -13 + 23a = 4a + 6a Combine like terms: 4a + 6a = 10a -13 + 23a = 10a Solving -13 + 23a = 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -13 + 23a + -10a = 10a + -10a Combine like terms: 23a + -10a = 13a -13 + 13a = 10a + -10a Combine like terms: 10a + -10a = 0 -13 + 13a = 0 Add '13' to each side of the equation. -13 + 13 + 13a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 13a = 0 + 13 13a = 0 + 13 Combine like terms: 0 + 13 = 13 13a = 13 Divide each side by '13'. a = 1 Simplifying a = 1
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