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Simplifying 4(t + -5) + -3 = 6t + -13 Reorder the terms: 4(-5 + t) + -3 = 6t + -13 (-5 * 4 + t * 4) + -3 = 6t + -13 (-20 + 4t) + -3 = 6t + -13 Reorder the terms: -20 + -3 + 4t = 6t + -13 Combine like terms: -20 + -3 = -23 -23 + 4t = 6t + -13 Reorder the terms: -23 + 4t = -13 + 6t Solving -23 + 4t = -13 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -23 + 4t + -6t = -13 + 6t + -6t Combine like terms: 4t + -6t = -2t -23 + -2t = -13 + 6t + -6t Combine like terms: 6t + -6t = 0 -23 + -2t = -13 + 0 -23 + -2t = -13 Add '23' to each side of the equation. -23 + 23 + -2t = -13 + 23 Combine like terms: -23 + 23 = 0 0 + -2t = -13 + 23 -2t = -13 + 23 Combine like terms: -13 + 23 = 10 -2t = 10 Divide each side by '-2'. t = -5 Simplifying t = -5
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