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Simplifying -28 + -7a = 3a + -2(-5a + -6) Reorder the terms: -28 + -7a = 3a + -2(-6 + -5a) -28 + -7a = 3a + (-6 * -2 + -5a * -2) -28 + -7a = 3a + (12 + 10a) Reorder the terms: -28 + -7a = 12 + 3a + 10a Combine like terms: 3a + 10a = 13a -28 + -7a = 12 + 13a Solving -28 + -7a = 12 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -28 + -7a + -13a = 12 + 13a + -13a Combine like terms: -7a + -13a = -20a -28 + -20a = 12 + 13a + -13a Combine like terms: 13a + -13a = 0 -28 + -20a = 12 + 0 -28 + -20a = 12 Add '28' to each side of the equation. -28 + 28 + -20a = 12 + 28 Combine like terms: -28 + 28 = 0 0 + -20a = 12 + 28 -20a = 12 + 28 Combine like terms: 12 + 28 = 40 -20a = 40 Divide each side by '-20'. a = -2 Simplifying a = -2
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