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Simplifying a + -1 = 4(a + -10) Reorder the terms: -1 + a = 4(a + -10) Reorder the terms: -1 + a = 4(-10 + a) -1 + a = (-10 * 4 + a * 4) -1 + a = (-40 + 4a) Solving -1 + a = -40 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -1 + a + -4a = -40 + 4a + -4a Combine like terms: a + -4a = -3a -1 + -3a = -40 + 4a + -4a Combine like terms: 4a + -4a = 0 -1 + -3a = -40 + 0 -1 + -3a = -40 Add '1' to each side of the equation. -1 + 1 + -3a = -40 + 1 Combine like terms: -1 + 1 = 0 0 + -3a = -40 + 1 -3a = -40 + 1 Combine like terms: -40 + 1 = -39 -3a = -39 Divide each side by '-3'. a = 13 Simplifying a = 13
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