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Simplifying -6a + -15 = 13(a + -7) Reorder the terms: -15 + -6a = 13(a + -7) Reorder the terms: -15 + -6a = 13(-7 + a) -15 + -6a = (-7 * 13 + a * 13) -15 + -6a = (-91 + 13a) Solving -15 + -6a = -91 + 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. -15 + -6a + -13a = -91 + 13a + -13a Combine like terms: -6a + -13a = -19a -15 + -19a = -91 + 13a + -13a Combine like terms: 13a + -13a = 0 -15 + -19a = -91 + 0 -15 + -19a = -91 Add '15' to each side of the equation. -15 + 15 + -19a = -91 + 15 Combine like terms: -15 + 15 = 0 0 + -19a = -91 + 15 -19a = -91 + 15 Combine like terms: -91 + 15 = -76 -19a = -76 Divide each side by '-19'. a = 4 Simplifying a = 4
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